Hilbert's Inequality
We prove Hilbert's integral inequality where one considers the kernel 1/(x+y) over the first quadrant. After several changes of variables, we are able to apply Cauchy-Schwarz to prove the boundedness of this operator. This result can be discretized to prove that the Hilbert matrix is bounded on l^2.
#mikethemathematician, #mikedabkowski, #profdabkowski
Watch video Hilbert's Inequality online without registration, duration hours minute second in high quality. This video was added by user Mike, the Mathematician 15 August 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 151 once and liked it 8 people.